Home / 1,406.23-2,109.16-481.66

Finding the Fourth Proportional to 1,406.23, 2,109.16 and 481.66

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Solution

The fourth proportional to 1,406.23, 2,109.16 and 481.66 is: 722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.23 : 2,109.16 = 481.66 : x
  2. Step 2: Convert to fraction form
    1,406.23/2,109.16 = 481.66/x
  3. Step 3: Cross multiply
    1,406.23x = 2,109.16 × 481.66
  4. Step 4: Simplify right side
    1,406.23x = 1,015,898.01
  5. Step 5: Solve for x
    x = 1,015,898.01/1,406.23
  6. Step 6: Final answer
    x = 722.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.